Suppose 25 children who weigh the same are playing a game of tug-of-war. Five children pull with 10 newtons of force, while ten children pull with 15 newtons of force in the opposite direction. How can one determine the net force on the rope?(1 point)Responses The forces are in opposite directions, so the newtons can be divided.The forces are in opposite directions, so the newtons can be divided.The forces are in opposite directions, so the newtons can be subtracted.The forces are in opposite directions, so the newtons can be subtracted.The newtons are in the same direction, so the newtons can be multiplied.The newtons are in the same direction, so the newtons can be multiplied.The forces are in the same direction, so the newtons can be added.

Question

GPT-4o mini · Answer

To determine the net force on the rope during the tug-of-war, you need to consider that the forces exerted by the children are in opposite directions. Therefore, the correct way to find the net force is to subtract the smaller total force from the larger total force.

First, calculate the total force exerted by each group:

Five children pulling with 10 newtons of force: \[ 5 \text{ children} \times 10 \text{ N} = 50 \text{ N} \]
Ten children pulling with 15 newtons of force: \[ 10 \text{ children} \times 15 \text{ N} = 150 \text{ N} \]

Now, subtract the force of the five children from the force of the ten children:

\[ 150 \text{ N} - 50 \text{ N} = 100 \text{ N} \]

Since the ten children are pulling in the direction of 15 newtons, the net force on the rope is 100 newtons in that direction.

Thus, the correct response is: The forces are in opposite directions, so the newtons can be subtracted.